It is windy in New York with probability 07 It is sunny with

It is windy in New York with probability 0.7. It is sunny with probability 0.6. If it is windy in New York, it is also sunny with probability 0.5.

Find the probability that it is sunny OR windy in New York.

Solution

It is windy in New York with probability 0.7. It is sunny with probability 0.6. If it is windy in New York, it is also sunny with probability 0.5.

Find the probability that it is sunny OR windy in New York.

W-windy

S-sunny

P(W) =0.7

P( S)=0.6

P(S/W) =0.5

P( S and W) =P(S/W)*P( W) =0.5*0.7=0.35

P( S or W) = P(S)+P(W)-P(S and W) =0.6+0.7-0.35 = 0.95